2722444560 has 320 divisors, whose sum is σ = 10311840000. Its totient is φ = 654704640.

The previous prime is 2722444559. The next prime is 2722444577. The reversal of 2722444560 is 654442272.

2722444560 is a `hidden beast` number, since 2 + 72 + 24 + 4 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3539856 + ... + 3540624.

It is an arithmetic number, because the mean of its divisors is an integer number (32224500).

Almost surely, 2^2722444560 is an apocalyptic number.

2722444560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2722444560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155920000).

2722444560 is an abundant number, since it is smaller than the sum of its proper divisors (7589395440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2722444560 is a wasteful number, since it uses less digits than its factorization.

2722444560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 2722444560 is about 52177.0501274267. The cubic root of 2722444560 is about 1396.3244676180.

The spelling of 2722444560 in words is "two billion, seven hundred twenty-two million, four hundred forty-four thousand, five hundred sixty".